How to bake Particle System in Blender 2.79
For those having the same problem: The cache tab disappears when the physics are set to "none" because apparently without physics, there is nothing to calculate and save to the disk. Because I was after the sporadic and stationary emergence of particles from the emitter, I found that using a Particle System of type "hair" instead of "emitter" will suffice when I animate the "length" option in the clump settings. It's not ideal because they all emerge at once, but until I find a better way, this will have to do! Please comment if there is a better fix to this!